Idk but for me there's just a little difference between offers and suggestion. 
A : hi, how're you?
B : not too bad. how's yours?
A : I'm sorry to hear that. what's up? you can share anything with me anyway
B : my boyfriend ask me to go to a cinema but my mom is sick at home. and for your information, today is his birthday
A : wow. it's a hard choice I guess. how about tell him the truth? tell him that your mother is sick and it's impossible to leave her alone at home. I'm sure he'll understand
B : it's a good idea but I don't want to make him dissapointed. I really confused
A : what if I take care of your mother? we're best friend and your mother knows me. 
B : really? thanks for your offers.